We develop and implement a semi-numerical method for computing high order Taylor approximations of the unstable manifold at a hyperbolic fixed point of a compact infinite dimensional analytic map. Even though the method involves several layers of truncation our goal is to obtain a representation of the invariant manifold which is accurate in a large region about the fixed point. In order to ins...

BACKGROUND Pixel-wise, parametric T2* mapping is emerging as a means of automatic measurement of iron content in tissues. It enables quick, intuitive interpretation and provides the potential benefit of spatial context between tissues. However, pixel-wise mapping uses much lower SNR data to estimate T2* when compared to region-based mapping thereby decreasing both its accuracy and precision. In...

This paper presents a framework for maximum a posteriori (MAP) speaker adaptation of state duration distributions in hidden Markov models (HMM). Four key issues of MAP estimation, namely analysis and modeling of state duration distributions, the choice of prior distribution, the specification of the parameters of the prior density and the evaluation of the MAP estimates, are tackled. Moreover, ...

A bstract Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for evolution of heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in ratio binding energy state temperature medium. The resulting NLO can be used more reliably describe quark-gluon plasma at low temperatures compared leading-...

We consider a nonlinear parametric Neumann problem driven by the anisotropic $(p,q)$-Laplacian and reaction which exhibits combined effects of singular term superlinear perturbation. are looking for positive solutions. Using combination topological variational tools together with suitable truncation comparison techniques, we prove bifurcation-type result describing set solutions as parameter $\...

We investigate the properties of the B-band Tully-Fisher (T-F) relation for 25 compact group galaxies, using Vmax derived from 2-D velocity maps. Our main result is that the majority of the Hickson Compact Group galaxies lie on the T-F relation. However, about 20% of the galaxies, including the lowest-mass systems, have higher B luminosities for a given mass, or alternatively, a mass which is t...

We present high-resolution mass reconstructions for five massive cluster-lenses spanning a redshift range from z = 0.18–0.57 utilizing archival Hubble Space Telescope (HST) data and applying galaxy-galaxy lensing techniques. These detailed mass models were obtained by combining constraints from the observed strong and weak lensing regimes. Quantifying the local weak distortions in the shear map...

Images are an important part of today's digital world. However, due to the large quantity of data is needed to represent modern imagery; the storage of such data can be expensive. Thus, the work on efficient image storage (image compression) has the potential to reduce storage costs and enable new applications. Block Truncation Coding (BTC) is a lossy image compression technique which uses mome...

The symplectic Wisdom-Holman map revolutionized long-term integrations of planetary systems. There is freedom in such methods of how to split the Hamiltonian and which coordinate system to employ, and several options have been proposed in the literature. These choices lead to different integration errors, which we study analytically and numerically. The WisdomHolman method in Jacobi coordinates...